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Chapter 5 Operational Amplifier. Introduction A typical op amp: a) pin configuration, b) circuit symbol An op amp is an active circuit element designed.

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Presentation on theme: "Chapter 5 Operational Amplifier. Introduction A typical op amp: a) pin configuration, b) circuit symbol An op amp is an active circuit element designed."— Presentation transcript:

1 Chapter 5 Operational Amplifier

2 Introduction A typical op amp: a) pin configuration, b) circuit symbol An op amp is an active circuit element designed to perform mathematical operation of addition, subtraction, multiplication, division, differentiation, and integration.

3 Terminal Voltage and Currents Vd=V2-V1 (differencial input) Vo=AVd=A(V2-V1) A: gain (open-loop voltage gain)

4 Actual op amp: Ri(very large); Ro(very small); A(very large) Idealization: Ri=>  ; Ro=>0 ; A=>  As Vo is limited, we can get from Vo=A(V2-V1) that: V2=V1 As Ri=> , we can get i 1 =0, i 2 =0 i1i1 i2i2

5 Ideal op amp 1)i1=0, i2=0 ; 2)V1=V2 Ideal op amp model i1 i2

6 Applications Inverting Amplifier

7 Applications Noninverting amplifier If Rf=0; R1= , then=>

8 The voltage follower ViVi VoVo First stage Second stage Applications

9 Summing amplifier

10 Difference Amplifier Note: be careful while using nodal analysis, do not set nodal equation at the output terminal.

11 Example: Find out Vo

12 P.P.5.10As a voltage follower, v a = v 1 = 2V where v a is the voltage at the right end of the 20 k  resistor. As an inverter, v b = Where v b is the voltage at the right end of the 50k  resistor. As a summer v 0 = = [6 - 15] = 9V


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